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Finding the Fourth Proportional to 3,401.92, 5,104.50 and 1,758.16

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Solution

The fourth proportional to 3,401.92, 5,104.50 and 1,758.16 is: 2,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.92 : 5,104.50 = 1,758.16 : x
  2. Step 2: Convert to fraction form
    3,401.92/5,104.50 = 1,758.16/x
  3. Step 3: Cross multiply
    3,401.92x = 5,104.50 × 1,758.16
  4. Step 4: Simplify right side
    3,401.92x = 8,974,527.72
  5. Step 5: Solve for x
    x = 8,974,527.72/3,401.92
  6. Step 6: Final answer
    x = 2,638.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.